17491
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17492
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 17490
- Möbius Function
- -1
- Radical
- 17491
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 53
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 2013
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that remain prime through 3 iterations of function f(x) = 9x + 8.at n=41A023298
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 88 ones.at n=19A031856
- Primes p such that x^53 = 2 has no solution mod p.at n=34A059258
- Primes p such that p+5==0 (mod phi(p+5)).at n=31A067542
- a(n) = Sum_{i=1..n} LookAndSay(i).at n=25A079664
- Smallest prime factor of A104365(n) = A104350(n) + 1.at n=44A104366
- Primes congruent to 27 mod 59.at n=36A142754
- Primes congruent to 45 mod 61.at n=33A142843
- Expansion of 1/(x^k*(1-x-3*x^(k+1))) for k=8.at n=31A143459
- Smallest prime factor of G-n, where G is any sufficiently large power tower of 3, e.g., Graham's number.at n=44A152178
- Primes p such that p^3-p^2-1 and p^3-p^2+1 are prime.at n=27A160858
- Noncomposite numbers in the western ray of the Ulam spiral as oriented on the March 1964 cover of Scientific American.at n=12A168025
- Least prime p = 1 (mod n) which divides Fibonacci((p-1)/n).at n=32A168171
- Partial sums of A006384.at n=7A173794
- Smallest emirp corresponding to the prime of A178581.at n=7A178582
- Smallest emirp corresponding to the prime of A178583.at n=7A178584
- Nearest prime to (prime(n)/2)^4.at n=8A185052
- Primes of the form 3n^3-5.at n=4A200849
- Primes of the form 6*k^2 - 5.at n=15A201791
- Primes of the form 7n^2 - 9.at n=10A201854